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a plane moves with a velocity of 63.5 m/s at 32 degrees south of east. Calculate the plane's horizontal and vertical velocity components.
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- A commuter airplane starts from ar. airport and takes the route shown in Figure P3.19. The plane first flies to city A, located 175 km away in a direction 30.0 north of east. Next, it flies for 150 km 20.0 west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starling point. Figure P3.19Which of the following correctly describes the centripetal acceleration vector for a particle moving in a circular path? (a) constant and always perpendicular to the velocity vector for the particle (b) constant and always parallel to the velocity vector for the particle (c) of constant magnitude and always perpendicular to the velocity vector for the particle (d) of constant magnitude and always parallel to the velocity vector for the particleA hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)
- An airplane flies horizontally from east to west at 266 mi/hr relative to the air. If it flies in a steady 36 mi/hr wind that blows horizontally toward the southwest (45° south of west), find the speed and direction of the airplane relative to the ground. The speed of the airplane is approximately? the direction of the airplane relative to the ground is?An airplane pilot wishes to fly to his destination 500 mi due west, but the wind is blowing at 28.7 mi/hr toward 25.7° north of west. The speed of the plane relative to the air is 169.1 mi/hr. At what angle (south of west) must the pilot orient the plane in order to fly to his destination directly? If the pilot orients the plane at that angle, what will be the speed of the plane relative to the ground?An airplane drops a vertical distance of 28m and moves 13. forward a Horizontal Distance of 372m what is the displacement traveled by the plane and what is the angle? A 373m/4.3 degrees C 373m/3.4 degrees B 370m/.231 degrees D 375m/45 degrees Bongo, the Australian Cat, goes for a stroll around the block. Bongo sees a scrumptious mouse and darts after the mouse. The mouse goes 6 blocks North, and then turns 5 blocks East. Bongo the cat calculates the mouse's displacement and jump and misses the 14. mouse, the mouse then turns South and goes 6 Blocks. The mouse then turns West and Goes 3.5 blocks West and climbs up a tree. What is Bongo total displacement? A 3.5 Blocks West C 1.5 Blocks West B 3.5 Blocks East D 1.5 Blocks East 15. Newton's Law states that an object in motion stays in motion and an object at rest stays at rest unless acted upon by an unbalanced force. A Gravitational Law C 2nd Law B 3rd Law D 1st Law/Law of Inertia MacBook Air 888 & %23 2 3. D 264 LLI
- A roller-coaster car moves 172 ft horizontally and then rises 115 ft at an angle of 32.0° above the horizontal. It next travels 115 ft at an angle of 44.0° downward (below the horizontal). What is its displacement from its starting point? (Assume the initial horizontal motion of the car to be along the +x axis.) magnitude ft direction counterclockwise from the +x-axisA commercial passenger jet is flying with an airspeed of 185 miles per hour on a heading of 036°. If a 47-mile-per-hour wind is blowing from a true heading of 120°, determine the velocity and direction of the jet relative to the ground. 186.1 mph, 021° 188.5 mph, 021° 195.6 mph, 069° 186.1 mph, 069°An airplane drops a vertical distance of 28m and moves 13. forward a Horizontal Distance of 372m what is the displacement traveled by the plane and what is the angle? A 373m/4.3 degrees C 373m/3.4 degrees B 370m/.231 degrees D 375m/45 degrees Bongo, the Australian Cat, goes for a stroll around the block. Bongo sees a scrumptious mouse and darts after the mouse. 14. The mouse goes 6 blocks North, and then turns 5 blocks East. Bongo the cat calculates the mouse's displacement and jump and misses the mouse, the mouse then turns South and goes 6 Blocks. The mouse then turns West and Goes 3.5 blocks West and climbs up a tree. What is Bongo total displacement? B 3.5 Blocks East D 1.5 Blocks East A 3.5 Blocks West C 1.5 Blocks West Law states that an object in motion stays 15. Newton's in motion and an object at rest stays at rest unless acted upon by an unbalanced force. A Gravitational Law C 2nd Law B 3rd Law D 1st Law/Law of Inertia MacBook Air
- A commercial jet travels from Miami to Seattle. The jet's velocity with respect to the air is 570 miles per hour, and its bearing is 332°. The jet encounters a wind with a velocity of 50 miles per hour from the southwest. (a) Draw a diagram that gives a visual representation of the problem.An engineer designs a roller coaster so that a car travels horizontally for 192 ft, then climbs 147 ft at an angle of 33.00 above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft direction ° counterclockwise from the +x-axisThe magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 40 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 250 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane. (Round your answers to one decimal place.) °E true course ground speed X km/h
